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Finding the Fourth Proportional to 9,252.09, 12,763.26 and 7,580.25

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Solution

The fourth proportional to 9,252.09, 12,763.26 and 7,580.25 is: 10,456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.09 : 12,763.26 = 7,580.25 : x
  2. Step 2: Convert to fraction form
    9,252.09/12,763.26 = 7,580.25/x
  3. Step 3: Cross multiply
    9,252.09x = 12,763.26 × 7,580.25
  4. Step 4: Simplify right side
    9,252.09x = 96,748,701.62
  5. Step 5: Solve for x
    x = 96,748,701.62/9,252.09
  6. Step 6: Final answer
    x = 10,456.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.